Date: Friday, 4 November 2011
Time: 2.00pm Venue: Blakers Lecture Theatre Speaker 1: Daniel Skates Title: To follow Supervisor: John Bamberg Abstract: To follow Speaker 2: Aedan Pope Title: Is there an upper bound on the diameter of the commuting graphs of groups? Supervisor: Michael Giudici Abstract: The commuting graph of a group G is the simple undirected graph whose vertices are the non-central elements of G and two distinct vertices are adjacent if and only if they commute. It was conjectured by Jafarzadeh and Iranmanesh that there is a universal upper bound on the diameter of the commuting graphs of finite groups when the commuting graph is connected. I will present a collection of new results pertaining to this conjecture.
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